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Finding the Fourth Proportional to 6,377.01, 9,565.83 and 4,522.83

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Solution

The fourth proportional to 6,377.01, 9,565.83 and 4,522.83 is: 6,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.01 : 9,565.83 = 4,522.83 : x
  2. Step 2: Convert to fraction form
    6,377.01/9,565.83 = 4,522.83/x
  3. Step 3: Cross multiply
    6,377.01x = 9,565.83 × 4,522.83
  4. Step 4: Simplify right side
    6,377.01x = 43,264,587.03
  5. Step 5: Solve for x
    x = 43,264,587.03/6,377.01
  6. Step 6: Final answer
    x = 6,784.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.